The total surface area of a right circular cylinder is 23100 cm2 and its volume is _______ cm3. The ratio of curved surface area of the cyl… — Answer & Discussion

The total surface area of a right circular cylinder is 23100 cm² and its volume is _______ cm³. The ratio of curved surface area of the cylinder to the total area of its two bases is 2 : 1.

A269050 cm³
B269550 cm³
C268500 cm³
D269000 cm³

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Discussion 1

CCommunity08 Jun 2019

Surface Area of two bases = 2πr2

Curved Surface Area of cylinder = 2πrh

According to the question,

⇒ 2πrh/2πr2 = 2/1

⇒ 2r = h

Total surface area the cylinder

⇒ 23100 = 2πr × (r + h)

⇒ 23100 = 2 × (22/7) × r(r + 2r)

⇒ 3r2 = 23100 × 7/44

⇒ r = 35

Volume of the right circular cylinder = πr2h

= (22/7) × 352 × 70 = 269500 cm3